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Practice

8.4.5 Practice

8.4.5 • Practice

Complete the following questions to practice the skills you have learned in this lesson.

For questions 1 – 4, solve each equation. Identify every correct answer.

  1. x ( 3 x + 12 ) = 0
  1. x = 0 and x = − 4
  2. x = 4 and x = − 4
  3. x = 0 and x = − 3
  4. x = 0 and x = − 12
  1. ( x − 7 ) ( x + 9 ) = 0
  1. x = − 7 and x = 9
  2. x = 7 and x = − 9
  3. x = 0 , x = 7 , and x = − 9
  4. x = 7 and x = − 7
  1. ( x − 8 ) ( 4 x + 15 ) = 0
  1. x = 8 and x = 15 4
  2. x = 8 and x = 4 15
  3. x = 8 and x = − 4 15
  4. x = 8 and x = − 15 4
  1. x ( x − 6 ) ( 5 x − 20 ) = 0
  1. x = 0 and x = 6
  2. x = 4 and x = 6
  3. x = 0 , x = 4 , and x = 6
  4. x = 0 , x = − 4 , and x = 6

For questions 5 - 6, use the following.

The functions below model the height of a projectile in feet, t seconds after launch.

  • h ( t ) = − 7 t 2 + 34 t + 48
  • h ( t ) = ( − 7 t − 8 ) ( t − 6 )
  1. Without graphing, determine at what time the height of the object is 0 feet.
  1. 0 seconds
  2. − 8 7 seconds
  3. 6 seconds
  4. 8 7 seconds
  1. Determine the height of the object before it is launched.
  1. 48 feet
  2. 6 feet
  3. 8 7 feet
  4. 0 feet
For questions 7 – 10, solve each equation. Identify every correct answer.
  1. x ( 6 x − 18 ) = 0
  1. x = − 3
  2. x = 0 and x = 3
  3. x = 3
  4. x = 0 and x = − 3
  1. ( x + 13 ) ( x − 9 ) = 0
  1. x = − 13 and x = 9
  2. x = − 9 and x = 13
  3. x = − 13 , x = 0 , and x = − 9
  4. x = − 9 and x = − 13
  1. ( x − 7 ) ( x − 7 ) = 0
  1. x = − 7
  2. x = 0 and x = 7
  3. x = − 7 and x = 7
  4. x = 7
  1. ( x − 5 6 ) ( 6 x + 30 ) = 0
  1. x = − 6 and x = 5 6
  2. x = − 5 and x = 5 6
  3. x = 5 and x = 5 6
  4. x = 5 and x = − 5 6